(v) It is natural to speculate that our classical symmetry conditions \(e^{a}_{\mu }(-\eta ,{\bf x})=-e^{a}_{\mu }(\eta ,{\bf x})\)  and \(\varphi (-\eta ,{\bf x})=\varphi (\eta ,{\bf x})\)  (along with analogous conditions for the various other fields) follow from a path integral formulation in which only paths satisfying these conditions are allowed In this picture, the bang may alternatively be thought of as a kind of spacelike orbifold boundary, with some similarity to the timelike orbifold boundaries which appear in constructions like those in [1]}, [2]}.. This suggests a natural wavefunction of the universe: namely, that the amplitude for a given spacelike 3-configuration of the geometry and matter fields is the path integral over all appropriately symmetric 4-configurations ending on the given 3-configuration.
